IPMpack (version 2.1)

elas: Estimates matrix element sensitivities and elasticities.

Description

Estimates sensitivities and elasticities of each element of a discretized IPM.

Usage

elas(A)
sens(A)

Arguments

A

a matrix defining all transitions (growth, survival, fecundity) between sizes/stages.

Value

a matrix.

References

Caswell, 2001, Matrix Population Models: construction, analysis, interpretation. 2nd ed. Sinauer. p206-256.

de Kroon, Plaisier, van Groenendael & Caswell. 1986. Elasticity: the relative contribution of demographic parameters to population growth rate. Ecology 67, p1427-1431.

de Kroon, van Groenendael & Ehrlen. 2000. Elasticities: a review of methods and model limitations. Ecology 81, p607-618.

See Also

sens, sensParams

Examples

dff <- generateData()
Pmatrix <- makeIPMPmatrix(minSize = min(dff$size, na.rm=TRUE),
maxSize = max(dff$size, na.rm = TRUE), growObj = makeGrowthObj(dff),
survObj = makeSurvObj(dff))

Fmatrix <- makeIPMFmatrix(minSize = min(dff$size, na.rm = TRUE),
maxSize = max(dff$size, na.rm = TRUE), fecObj = makeFecObj(dff))

IPM <- Pmatrix + Fmatrix

par(mfrow = c(1, 2))

senst <- sens(IPM)
image(Pmatrix@meshpoints, Pmatrix@meshpoints,t(senst), 
	main = "Sensitivity", xlab = "Continuous (e.g. size) stage in t", 
		ylab = "Continuous (e.g. size) stage in t+1")

elast <- elas(IPM)
image(Pmatrix@meshpoints, Pmatrix@meshpoints, t(elast), main = "Elasticity", 
	xlab = "Continuous (e.g. size) stage in t", 
		ylab = "Continuous (e.g. size) stage in t+1")